Finding the Fourth Proportional to 2,592.82, 3,885.77 and 947.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.82 : 3,885.77 = 947.82 : x
2. Step 2: Convert to fraction form
   2,592.82/3,885.77 = 947.82/x
3. Step 3: Cross multiply
   2,592.82x = 3,885.77 × 947.82
4. Step 4: Simplify right side
   2,592.82x = 3,683,010.52
5. Step 5: Solve for x
   x = 3,683,010.52/2,592.82
6. Step 6: Final answer
   x = 1,420.47